Evaluate the integral using subsitution rule $int cos^3xsinx dx$ ?

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Answer 1 · 2017-01-19T01:54:30

$intcos^(3)(x)sin(x)dx=(-cos^(4)(x))/4+C$

Let

$u=cos(x)$

then

$du=-sin(x)$

Then we can write

$intcos^(3)(x)sin(x)dx=-intu^3du=-u^(4)/4+C$

Then by substituting $cos(x)$ back in we get

$ul(intcos^(3)(x)sin(x)dx=(-cos^(4)(x))/4+C)$

Evaluate the integral using subsitution rule int cos^3xsinx dxint cos^3xsinx dx?